Studying the thermodynamics of black holes was initially motivated and developed by Hawking and Bekenstein [1]}, [2]}, [3]}, [4]} by working on the thermal properties of black holes from viewpoint of the thermodynamics physics. In such studies, surface gravity and the event horizon area are supposed to be proportional to temperature and entropy. Also, the mass of a black hole is usually considered internal energy. Despite the successes of the mentioned approach, there are still some ambiguities around the issue such as the nature of microscopic degrees of freedom contributing to the entropy of black holes. The holography principle and also AdS/CFT duality play an important role in studying several quantities of black holes in which an AdS black hole state in bulk is equivalent to a thermal state equivalent to dual field theory [5]}, [6]}, [7]}, [8]}. Besides the above formalisms, one can analyze the thermodynamics of the black holes using different symmetries of a gravitational model [9]}. As an advanced study of AdS black holes, Hawking and Page showed phase transition between AdS black holes with radiation and thermal AdS [10]}. Additionally, the thermodynamics quantities of black holes concerning the extended phase space thermodynamics are discussed in [11]}, [12]}, [13]}, [14]}, [15]}, [16]}, [17]}, [18]}, [19]}, [20]}. In this approach, the thermodynamics behavior of some gravitational models for different black holes is studied by considering a negative cosmological constant proportional to the pressure. Studying such structures provides an excellent incentive to include other parameters of the considered models as novel thermodynamic parameters [16]}, [17]}, [18]}, [24]}. Moreover, using \(P\) , \(V\)  variables navigates us to the fact that AdS black holes can be assumed as heat engines [25]}, [26]}.
